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13
Jun 28, 2018
06/18
by
Paolo Casati
texts
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In this paper we classify all the cyclic finite dimensional indecomposable\\ modules of the perfect Lie algebras $\mathfrak{sl}(n+1)\ltimes \mathbbm{C}^{n+1}$, given by the semidirect sum of the simple Lie algebra $A_n$ with its standard representation. Furthermore, using the embeddings of the Lie algebras $\mathfrak{sl}(n+1)\ltimes \mathbbm{C}^{n+1}$ in $\mathfrak{sl}(n+2)$, we show that any finite dimensional irreducible module of $\mathfrak{sl}(n+2)$ restricted to $\mathfrak{sl}(n+1)\ltimes...
Topics: Mathematics, Representation Theory
Source: http://arxiv.org/abs/1508.07203
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160
Nov 10, 2014
11/14
by
Paolo Casati
texts
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Topic: bub_upload
Source: http://books.google.com/books?id=54N3lwWIwdgC&hl=&source=gbs_api
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99
May 15, 2016
05/16
by
Paolo Casati
texts
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Topic: bub_upload
Source: http://books.google.com/books?id=vnIDVYAT-PAC&hl=&source=gbs_api
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129
May 3, 2016
05/16
by
Paolo Casati
texts
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Topic: bub_upload
Source: http://books.google.com/books?id=-ph1YBdXx_EC&hl=&source=gbs_api
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269
Oct 29, 2014
10/14
by
Casati, Paolo
texts
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4º. [16], 799, [1] p.
Topic: R.P. Pauli Casati Mechanica.
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52
Sep 20, 2013
09/13
by
Paolo Casati
texts
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In this paper we show that any irreducible finite dimensional representation of $SL_{n+1}$ remains indecomposable if restricted to n--dimensional abelian subalgebras spanned by simple root vectors.
Source: http://arxiv.org/abs/1002.2840v1
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214
Oct 29, 2014
10/14
by
Casati, Paolo
texts
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4º. [6], 176 [i.e. 174], [12] p.
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196
Oct 27, 2014
10/14
by
Casati, Paolo
texts
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4°. VII, [1], 237, [3] p.
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208
Dec 16, 2014
12/14
by
Paolo Casati
texts
eye 208
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comment 0
Topic: bub_upload
Source: http://books.google.com/books?id=Kp9GAAAAcAAJ&hl=&source=gbs_api
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98
Feb 7, 2016
02/16
by
Paolo Casati
texts
eye 98
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Topic: bub_upload
Source: http://books.google.com/books?id=bga6cEyPpQ8C&hl=&source=gbs_api
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118
Jun 7, 2016
06/16
by
Paolo Casati
texts
eye 118
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comment 0
Topic: bub_upload
Source: http://books.google.com/books?id=7YY7yLwS_KkC&hl=&source=gbs_api
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191
Apr 26, 2016
04/16
by
Paolo Casati
texts
eye 191
favorite 0
comment 0
Topic: bub_upload
Source: http://books.google.com/books?id=Mtg-LiVDYboC&hl=&source=gbs_api
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25
Nov 3, 2021
11/21
by
Paolo Casati
texts
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[8], 250 pages fold. plates, diagrs. 23 cm.
Topic: Mathematical instruments.
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105
Apr 3, 2016
04/16
by
Paolo Casati
texts
eye 105
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Topic: bub_upload
Source: http://books.google.com/books?id=GU56IowbyUMC&hl=&source=gbs_api
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58
Sep 20, 2013
09/13
by
Paolo Casati; Giovanni Ortenzi
texts
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We give a representation--theoretic interpretation of recent discovered coupled soliton equations using vertex operators construction of affinization of not simple but quadratic Lie algebras. In this setup we are able to obtain new integrable hierarchies coupled to each Drinfeld--Sokolov of $A$, $B$, $C$, $D$ hierarchies and to construct their soliton solutions.
Source: http://arxiv.org/abs/nlin/0405040v1
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162
Apr 10, 2017
04/17
by
Casati, Paolo, 1617-1707
texts
eye 162
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Bound in old vellum; ink title on spine; edges sprinkled red
Topics: Mathematical instruments, Mathematics, Compasses (Mathematical instruments)
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3.0
Jun 30, 2018
06/18
by
Paolo Casati; Andrea Previtali; Fernando Szechtman
texts
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We classify all uniserial modules of the solvable Lie algebra $\mathfrak{g}=\langle x\rangle \ltimes V$, where $V$ is an abelian Lie algebra over an algebraically closed field of characteristic 0 and $x$ is an arbitrary automorphism of $V$.
Topics: Representation Theory, Mathematics
Source: http://arxiv.org/abs/1702.00084
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52
Sep 19, 2013
09/13
by
Paolo Casati; Alberto Della Vedova; Giovanni Ortenzi
texts
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We construct in an explict way the soliton equation corresponding to the affine Kac--Moody Lie algebra $G_2^{(1)}$ together with their bihamiltonian structure. Moreover the Riccati equation satisfied by the generating function of the commuting Hamiltonians densities is also deduced. Finally we describe a way to deduce the bihamiltonian equations directly in terms of this latter functions
Source: http://arxiv.org/abs/nlin/0610034v2
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50
Sep 20, 2013
09/13
by
Paolo Casati; Gregorio Falqui; Franco Magri; Marco Pedroni
texts
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We use the method of Darboux coverings to discuss the invariant submanifolds of the KP equations, presented as conservation laws in the space of monic Laurent series in the spectral parameter (the space of the Hamiltonian densities). We identify a special class of these submanifolds with the rational invariant submanifolds entering matrix models of $2D$--gravity, recently characterized by Dickey and Krichever. Four examples of the general procedure are provided.
Source: http://arxiv.org/abs/solv-int/9610002v1
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65
Sep 22, 2013
09/13
by
Paolo Casati; Gregorio Falqui; Franco Magri; Marco Pedroni
texts
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We discuss the geometry of the Marsden-Ratiu reduction theorem for a bihamiltonian manifold. We consider the case of the manifolds associated with the Gel'fand-Dickey theory, i.e., loop algebras over sl(n+1). We provide an explicit identification, tailored on the MR reduction, of the Adler-Gel'fand-Dickey brackets with the Poisson brackets on the MR-reduced bihamiltonian manifold N. Such an identification relies on a suitable immersion of the space of sections of the cotangent bundle of N into...
Source: http://arxiv.org/abs/solv-int/9707017v1
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43
Sep 18, 2013
09/13
by
Paolo Casati; Gregorio Falqui; Franco Magri; Marco Pedroni
texts
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We introduce a hierarchy of mutually commuting dynamical systems on a finite number of Laurent series. This hierarchy can be seen as a prolongation of the KP hierarchy, or a ``reduction'' in which the space coordinate is identified with an arbitrarily chosen time of a bigger dynamical system. Fractional KdV hierarchies are gotten by means of further reductions, obtained by constraining the Laurent series. The case of sl(3)^2 and its bihamiltonian structure are discussed in detail.
Source: http://arxiv.org/abs/solv-int/9606010v2
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312
Jan 27, 2016
01/16
by
Casati, Paolo, 1617-1707. aut; Pezzana, Nicolò. pbl
texts
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Bianca l'ultima c
Topic: bub_upload
Source: http://books.google.com/books?id=9wL2U30kHesC&hl=&source=gbs_api
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233
Apr 13, 2016
04/16
by
Casati, Paolo, 1617-1707. aut; Anisson, Jean & Posuel, Jean & Rigaud, Claude. pbl
texts
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Marca (Giglio in cornice figurata) sul front
Topic: bub_upload
Source: http://books.google.com/books?id=JrASfg_mV2sC&hl=&source=gbs_api
